An Improved Eulerian Approach for the Finite Time Lyapunov Exponent
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0669-y
Abstract: We propose a new Eulerian numerical approach to compute the Jacobian of flow maps in continuous dynamical systems and subsequently the so-called finite time Lyapunov exponent (FTLE) for Lagrangian coherent structure extraction. The original approach… read more here.
Keywords: time lyapunov; finite time; lyapunov exponent; time ... See more keywords
Fast Construction of Forward Flow Maps using Eulerian Based Interpolation Schemes
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DOI: 10.1007/s10915-020-01141-z
Abstract: We propose a modification to a recently developed Eulerian interpolation scheme for constructing the flow map for autonomous, periodic and aperiodic dynamical systems. We show that the proposed methods significantly improve the computational efficiency when… read more here.
Keywords: construction; flow map; flow maps; flow ... See more keywords
Neural Flow Map Reconstruction
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DOI: 10.1111/cgf.14549
Abstract: In this paper we present a reconstruction technique for the reduction of unsteady flow data based on neural representations of timeâvarying vector fields. Our approach is motivated by the large amount of data typically generated… read more here.
Keywords: map samples; flow; flow map; vector ... See more keywords